Questions on Algebra: Probability and statistics answered by real tutors!

Tutors Answer Your Questions about Probability-and-statistics (FREE)

Question 372655: If the probability of rain for the day is 65% , what are the odds agianst rain?
Click here to see answer by edjones(7569)

Question 373055: An ice chest contains 6 cans of apple juice,8 cans of grape juice,5 cans of orange juice, and 4 cans of pineapple juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting no grape juice.
Click here to see answer by robertb(4012)

Question 373082: the lines are neither parallel nor perpendicular because they do not have the same gradient
Click here to see answer by prince tayem(3)

Question 373163: The age at which people get married for the entire population in the United States is normally distributed. The mean population age at which people get married is 30, and the population variance is 16. Given this information, what percentage of people get married between the ages of 26 and 34?
Click here to see answer by SadieKhan(31)

Question 373294: 8. In your political science class you are given a list of 10 books. You are to select 4 to read during the semester. How many different combinations of 4 books are available from the list of 10?
Click here to see answer by edjones(7569)

Question 373293: 8. The board of directors of Mercy Community Hosp. has 12 members. Three officers-president, vice president, and treasurer-must be elected from the members. If we view a slate of officers as a list of 3 people with one person for president listed first, one person for vice president listed second and one person for treasurer listed third, how many different possible slates of officers are there?
Click here to see answer by edjones(7569)

Question 373373: events c and d are depentdable events.
p(c)=0.75
p(d given c)=0.5
p(c and d)=?
Click here to see answer by robertb(4012)

Question 373467: A man rolls an ordinary die 6 times. What is the probability that he gets at least 5 sixes?
Click here to see answer by josmiceli(9679)

Question 373519: The probability that San Francisco plays in the next Super Bowl is nine times the probability that they do not play in the next Super Bowl. The probability that San Francisco plays in the next Super Bowl plus the probability that they do not play is 1. What is the probability that San Francisco plays in the next Super Bowl?
Click here to see answer by robertb(4012)

Question 373602: How do you solve:
Chris Siragusa takes out a 7% simple interest loan today which will be repaid 15 months from now with a payoff amount of $815.63. What amount is Chris borrowing?
Thank you very much!
Click here to see answer by mananth(12270)

Question 373584: X is a normal variate with mean 30 and standard deviation
5. Find the probabilities that
1. 26< X <40
2. x>45
Click here to see answer by ewatrrr(10682)

Question 373743: Ann is applying for a bank loan to open a pizza franchise. She must first complete a written application and then, if the written application is approved, be interviewed by bank officers. If an applicant’s written application is not approved the applicant is not granted an interview with the bank officers. Past records for this bank show that the probability of an applicant having his or her written application approved is 0.63. Records also indicate that the interviewing committee of bank officers approves 85% of the individuals they interview. Find the probability that Ann’s loan request is approved. Place your answer, rounded to 2 decimal places, in the blank.
Click here to see answer by edjones(7569)

Question 373680: If the probability for snow today was forecast to be 40%, what are the odds against it snowing today?
Click here to see answer by Fombitz(13828)

Question 373838: Write the distribution for the following formula and determine whether it is a probability distribution.
P(X) ___X___ for X = 0,1,2 or P(X) X/X+2 for X= 0,1,2
X+2

Click here to see answer by robertb(4012)

Question 373850: Find the probability of randomly selecting 2 mathematics books and 3 physics books from a box containing 4 mathematics books and 8 physics books.
Click here to see answer by edjones(7569)

Question 373747: OK...so the first part of this question asked to figure out for EXACTLY three people. I got an answer of 0.1691. The second half of the question I am stumped with. Here is the second question:
Suppose that the probability that a new medication will cause a bad side effect is 0.03. If this medication is given to 150 people, what is the probability that more than three of them will experience a bad side effect? Place your answer, rounded to 4 decimal places, in the blank.
Thanks!
Click here to see answer by jim_thompson5910(28595)

Question 373746: Another one I am stuck on. I used two different formulas...one with z scores, one with normdist. But they came out different. (One was0.412526 and the other 0.1131). Can you please help with this problem?
Thanks!
The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is mound shaped and symmetric with a mean of 25.9 mpg and a standard deviation of 9.5 mpg. If 30 such cars are tested, what is the probability the average mpg achieved by these 30 cars will be greater than 28? Place your answer, rounded to 4 decimal places, in the blank. _______
Click here to see answer by jim_thompson5910(28595)

Question 373835: Write the distribution for the following formula and determine whether it is a probability distribution.
P(X) ___X___ for X = 0,1,2
X+2

Click here to see answer by Fombitz(13828)

Question 373745: Hello, I am having a really hard time with this. I have tried to complete several of the sections, but I think I am getting lost somewhere. If you can help it would be great. There are four sections to be answered. I will show my work on the one's I have attempted.
Thanks!
In February 2002 the Argentine peso lost 70% of its value compared to the United States dollar. This devaluation drastically raised the price of imported products. According to a survey conducted by AC Nielsen in April 2002, 68% of the consumers in Argentina were buying fewer products than before the devaluation, 24% were buying the same number of products, and 8% were buying more products. Furthermore, in a trend toward purchasing less-expensive brands, 88% indicated that they had changed the brands they purchased. Suppose the following complete set of results were reported. Use the following data to answer questions 9 through 12.
Number of Products Purchased
Brands Purchased Fewer Same More Total
Same......................10......14......24.......48
Changed...............262.....82......8........352
Total.....................272.....96......32.......400

A) What is the probability that a consumer selected at random purchased fewer products than before? Place your answer, rounded to 4 decimal places, in the blank. ________
**for this one I figured that I was looking at 272 which purchased fewer products, out of the 400 total purchased. So I had 272/400 = 0.68? But this is not four decimal places, so I figure I set something up wrong.**
B. What is the probability that a consumer selected at random purchased the same number or more products than before? Place your answer, rounded to 4 decimal places, in the blank. ________

C. What is the probability that a consumer selected at random purchased fewer products than before and changed brands? Place your answer, rounded to 4 decimal places, in the blank. ________
** for this I did the total purchased fewer as 262/400 and then changed as 352/400. I have the equation as P=262/400 % 352/400. This would then become P=262/400 *400/352 which would reduce down to 262/352 = 0.744318??**

D. Given that a consumer changed the brands, what then is the probability that the consumer purchased fewer products than before? Place your answer, rounded to 4 decimal places, in the blank. ________

Click here to see answer by jim_thompson5910(28595)

Question 373867: Four unmarked packages have lost their shipping labels, and you must reapply them. What is the probability that you apply the labels and get all four of them correct? Exactly three correct? Exactly two correct? At least one correct?
Click here to see answer by Fombitz(13828)

Question 373749: The length of time to complete a door assembly on an automobile factory assembly line is normally distributed with mean 6.7 minutes and standard deviation 2.2 minutes. For a door selected at random, what is the probability the assembly line time will be between 5 and 10 minutes? Place your answer, rounded to 4 decimal places, in the blank.
***So I figure z1=5 minutes and z2=10 minutes. I need to figure out both separately first. So Z1=5-6.7/2.2 which = 0.7727. Then I figured out
z2=10-6.7/2.2 which = 1.5. So I know z1=0.7727 and z2=1.5... But I do not know how to proceed from here?**

Click here to see answer by jim_thompson5910(28595)

Question 373964: An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trail of a random experiment.
Compute the probability of each of the following events:
Event A: the sum is greater than 5.
Event B: the sum is divisible by 5.
Write your answers as exact fractions.
P(A)=
P(B)=
Click here to see answer by Edwin McCravy(8909)

Question 374049: Assume the weight of a randomly chosen American passenger car is a uniformly distributed random variable ranging from 2,500 pounds to 4,500 pounds.

(a) What is the mean weight of a randomly chosen vehicle?
Mean weight
(b) What is the standard deviation of a randomly chosen vehicle? (Round your answer to 4 decimal places.)

Standard deviation
(c) What is the probability that a vehicle will weigh less than 3,000 pounds?

Less than 3,000 pounds
(d) What is the probability that a vehicle will weigh more than 4,000 pounds?

More than 4,000 pounds
(e) What is the probability that a vehicle will weigh between 3,000 and 4,000 pounds?

Between 3,000 and 4,000 pounds

Click here to see answer by Chico57(1)

Question 374061: If you testing hypotheses and your p-value gives you a rejection of the null hypothesis for a a 5% significance level, then all other things being equal you would also get a rejection of the null hypothesis for a 10% significance level.

true or false
Click here to see answer by jim_thompson5910(28595)

Question 374031: A randomly generated password has the length of 7 with each digit being a decimal digit. How many passwords should Bob try to guarantee success?
Click here to see answer by checkley79(3050)

Question 374127: A psychologist is studying the effects of lack of sleep on the performance of various perceptual-motor tasks. After a given period of sleep deprivation, a measurement of reaction time to an auditory stimulus was taken for each of fifty randomly selected adult male subjects. The mean and standard deviation of the reaction times (in seconds) for the fifty adult male subjects were 1.82 seconds and 0.28 seconds respectively. Previous psychological studies have shown that the true mean reaction time for non-sleep-deprived male subjects is 1.70 seconds. Does the sample evidence indicate that the mean reaction time for sleep-deprived adult males is longer than that of non-sleep-deprived adult males. Select the correct hypotheses to test below.
Choose one answer.
A. Ho:u= 1.82
Ha:u< 1.82
B. Ho:u= 1.70
Ha:u< 1.70

C. Ho:u= 1.82
Ha:u> 1.82
D. Ho:u= 1.70
Ha:u> 1.70
E. None of the above
I choose C.
u =The true mean reaction time for sleep deprived adult males
the key word was longer which mean I use the greater than symbol

Click here to see answer by jim_thompson5910(28595)

Question 374121: When are p-values negative?
A. when we fail to reject the null hypothesis
B. when the confidence interval includes only negative values
C. when the sample statistic is smaller than the hypothesized value of the parameter
D. never because p-value is probability.
E. when the test statistic is negative.

Click here to see answer by jim_thompson5910(28595)

Question 374120: If the p-value is less than alpha in a one-tailed test:
A. a one-tailed test should be used.
B. alpha should be changed.
C. the null hypothesis should be rejected.
D. the null hypothesis should not be rejected.

Click here to see answer by jim_thompson5910(28595)

Question 374119: A Type II error is committed when
A. you reject the null hypothesis that is false.
B. you don't reject the null hypothesis that is false.
C. you don't reject the null hypothesis that is true.
D. you reject the null hypothesis that is true.

Click here to see answer by jim_thompson5910(28595)

Question 374118: In a test of H0 : μ = 100 against Ha : μ < 100, a random sample of size 65 produces a sample mean of 103 and a p-value of 0.08. Thus, at the 0.05 level of significance:
A. we cannot reject the claim that the population mean is less than 100.
B. we can reject the claim that the population mean is less than 100.
C. we can reject the claim that the population mean is 100.
D. we cannot reject the claim that the population mean is 100.

Click here to see answer by jim_thompson5910(28595)

Question 374116: When we don't know the population standard deviation when we are conducting a hypothesis test for a population mean, we should use a t-test.
True
False

Click here to see answer by jim_thompson5910(28595)

Question 374065: Box 1 contains 1000 bulbs of which 10% are defective. Box 2 contains 2000 bulbs of which 5% are defective. Two bulbs are picked from a randomly selected box.
(a) Find the probability that both bulbs are defective.
(b) Assuming that both are defective, find the probability that they came from box 1.
Click here to see answer by edjones(7569)

Question 374115: Which of the following statements is FALSE?
A. The alternative hypothesis never contains an equality.
B. The null hypothesis always contains an equality.
C. The hypotheses are statements about a population parameter.
D. The hypotheses are statements about the sample statistic.

Click here to see answer by jim_thompson5910(28595)

Question 373952: In a game of 6 players lasting for 40 mins there are 4 reserves. They substitute each player so that all players including reserves are on the pitch for the same length of time.
How long is each player on the pitch ?

Click here to see answer by edjones(7569)

Question 374114: The average time it takes for a person to experience pain relief from aspirin is 25 minutes. A new ingredient is added to help speed up relief. Let μ denote the average time to obtain pain relief with the new product. An experiment is conducted to verify if the new product is better. What are the null and alternative hypotheses?
A. H0 : μ < 25 Ha : μ = 25
B. H0 : μ = 25 Ha : μ < 25
C. H0 : μ = 25 Ha : μ≠ 25

D. H0 : μ < 25 Ha : μ > 25
E. H0 : μ = 25 Ha : μ > 25

Click here to see answer by jim_thompson5910(28595)

Question 374112: If a researcher wishes to determine whether there is evidence that the mean family income in the U.S. is greater than $30,000 then:
A. a two-tailed test should be utilized.
B. either a one-tailed or a two-tailed test could be used since they are equivalent.
C. a one-tailed test should be utilized
D. none of the above.

Click here to see answer by jim_thompson5910(28595)

Question 373914: there are 20 employees at plant A and 10 employees at plant B. A random sample of 6 employees is chosen. What is the probability that 2 are at plant B?
What is the probability that 4 are at plant A?
Click here to see answer by edjones(7569)

Question 374145: . Construct a payoff table.
b. Determine the expected payoffs, and arrive at a decision.
c. Set up an opportunity loss table.
d. Compute the expected opportunity losses, and arrive at a decision.
e. Determine the value of perfect information.
Click here to see answer by Bebita1992(4)

Question 374488: If the mean of a normal distribution is 70 and the standard deviation is 3, what is the z-value for 73?
given that the heights are normally distributed with a mean of 70 inches and a standard deviation of 3 inches, what is the probability of a person chosen at random having a height between 67 and 73 inches?- here I have used the Bell shape with 99.7% within the 3 standard deviation range. I am thinking I am correct on this but not sure.

Click here to see answer by ewatrrr(10682)

Question 374599: Suppose the average number of orders placed at a local retail store over the phone is 300 per hour. Assuming independence among calls, what os the expected number og phone orders that will come in during a randomly selected 10 minute period.
Click here to see answer by edjones(7569)

Question 374880: In the last presidential election 39% of the registerd voters in a certain city actually cast ballots.
a)In a random sample of 20 voters from that city, what is the probability that exactly 8 voted in the last presidential election?

Click here to see answer by edjones(7569)

Question 374877: If you have numbers from 1 to 999 in a bag and you pull out 10 numbers, what are the odds that 7 of those numbers will be from 700 to 999? Is there a formula for figuring this out and if there is can you send it to me? Thanks for your help. Pam
Click here to see answer by edjones(7569)

Question 374935: A controversy arose in 1992 over the Teen Talk
Barbie doll, each of which was programmed with four sayings
randomly picked from a set of 270 sayings. The controversy
was over the saying, “Math class is tough,” which
some felt gave a negative message toward girls doing well
in math. In an interview with Science, a spokeswoman for
Mattel, the makers of Barbie, said that “There’s a less than
1% chance you’re going to get a doll that says math class
is tough.”† Is this figure correct? If not, give the correct
figure.
Click here to see answer by Alan3354(30993)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 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